# Abstract Algebra

To me, Algebra is a branch of Mathematics that deals with**symbols**and

**the rules for manipulating those symbols**. It really is the

**foundation of all Mathematics**because it sets up and sets out the

**written language of math**. Without algebra we would have

**no powerful method of communicating**our Mathematical ideas (to humans or computers) and progress would essentially ground to a halt.

### Set Theory

### Number Theory

### Groups

### Quotient Groups

### Rings

### Commutative Rings

### Fields

### Actions

### Modules

### Vector Spaces

### Linear Operators and Matrices

### Inner Product Spaces

### Tensors

### Exterior Algebras

### Theory

### Polynomial Rings

### Category Theory

http://thevikidtruth.com/wiki/?abstractalgebra

07dec16 | admin |